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Finding the Fourth Proportional to 3,531.96, 4,872.98 and 2,039.68

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Solution

The fourth proportional to 3,531.96, 4,872.98 and 2,039.68 is: 2,814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.96 : 4,872.98 = 2,039.68 : x
  2. Step 2: Convert to fraction form
    3,531.96/4,872.98 = 2,039.68/x
  3. Step 3: Cross multiply
    3,531.96x = 4,872.98 × 2,039.68
  4. Step 4: Simplify right side
    3,531.96x = 9,939,319.85
  5. Step 5: Solve for x
    x = 9,939,319.85/3,531.96
  6. Step 6: Final answer
    x = 2,814.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.